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Finding the Fourth Proportional to 971,553.70, 1,456,812.15 and 409,953.70

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Solution

The fourth proportional to 971,553.70, 1,456,812.15 and 409,953.70 is: 614,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,553.70 : 1,456,812.15 = 409,953.70 : x
  2. Step 2: Convert to fraction form
    971,553.70/1,456,812.15 = 409,953.70/x
  3. Step 3: Cross multiply
    971,553.70x = 1,456,812.15 × 409,953.70
  4. Step 4: Simplify right side
    971,553.70x = 597,225,531,097.46
  5. Step 5: Solve for x
    x = 597,225,531,097.46/971,553.70
  6. Step 6: Final answer
    x = 614,711.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.